{"status": "success", "data": {"description_md": "Right triangle $ABC$ has leg lengths $AB=20$ and $BC=21$. Including $\\overline{AB}$ and $\\overline{BC}$, how many line segments with integer length can be drawn from vertex $B$ to a point on hypotenuse $\\overline{AC}$?\n\n$\\textbf{(A) }5 \\qquad\n\\textbf{(B) }8 \\qquad\n\\textbf{(C) }12 \\qquad\n\\textbf{(D) }13 \\qquad\n\\textbf{(E) }15 \\qquad$", "description_html": "<p>Right triangle  <span class=\"katex--inline\">ABC</span>  has leg lengths  <span class=\"katex--inline\">AB=20</span>  and  <span class=\"katex--inline\">BC=21</span> . Including  <span class=\"katex--inline\">\\overline{AB}</span>  and  <span class=\"katex--inline\">\\overline{BC}</span> , how many line segments with integer length can be drawn from vertex  <span class=\"katex--inline\">B</span>  to a point on hypotenuse  <span class=\"katex--inline\">\\overline{AC}</span> ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) }5 \\qquad\n\\textbf{(B) }8 \\qquad\n\\textbf{(C) }12 \\qquad\n\\textbf{(D) }13 \\qquad\n\\textbf{(E) }15 \\qquad</span> </p>\n<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2018 AMC 10A Problem 16", "can_next": true, "can_prev": true, "nxt": "/problem/18_amc10A_p17", "prev": "/problem/18_amc10A_p15"}}